13824660064 has 24 divisors (see below), whose sum is σ = 28155828960. Its totient is φ = 6673973376.

The previous prime is 13824660043. The next prime is 13824660119. The reversal of 13824660064 is 46006642831.

It is a super-2 number, since 2×13824660064² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13824659999 and 13824660026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7447704 + ... + 7449559.

It is an arithmetic number, because the mean of its divisors is an integer number (1173159540).

Almost surely, 2^13824660064 is an apocalyptic number.

It is an amenable number.

13824660064 is an abundant number, since it is smaller than the sum of its proper divisors (14331168896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13824660064 is a wasteful number, since it uses less digits than its factorization.

13824660064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14897302 (or 14897294 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 13824660064 in words is "thirteen billion, eight hundred twenty-four million, six hundred sixty thousand, sixty-four".